Finite Group Databasebeta

← #35196950

Subgroups — #35196950

Order 20224.

7274 conjugacy classes of subgroups.

The subgroup lattice has 1458 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#23777950C218yesmaximal, complemented
2#23777930C214yesmaximal, complemented
3#23777918C214yesmaximal, complemented
4#23777749C214yesmaximal, complemented
5#23777740C212yesmaximal, complemented
6#23777733C211yesmaximal, characteristic, complemented
7#23777482C212yesmaximal, complemented
8#23777480C212yesmaximal, complemented
9#23777431C212yesmaximal, complemented
10#23777423C212yesmaximal, complemented
11#23777341C214yesmaximal, complemented
12#23777325C214yesmaximal, complemented
13#23777227C214yesmaximal, complemented
14#23777156C214yesmaximal, complemented
15#23777132C214yesmaximal, complemented
16#23777127C214yesmaximal, complemented
17#23777041C214yesmaximal, complemented
18C2×#19099111C211yesmaximal, characteristic, complemented
19#529×D79C212yesmaximal, complemented
20C79×#3543C211yesmaximal, characteristic, complemented
21C2×#14579206C2214yescomplemented
22C22×#11929623C2212yescomplemented
23#19099316C2214yescomplemented
24#19099315C2218yescomplemented
25#19099308C2218yescomplemented
26#19099306C2214yescomplemented
27#19099300C2214yescomplemented
28#19099299C2214yescomplemented
29#19099299C2211yescharacteristic, complemented
30#19099295C2214yescomplemented
31Q8×Dic158C2212yescomplemented
32#19099278C2212yescomplemented
33#19099277C2218yescomplemented
34#19099273C2212yescomplemented
35#19099272C2214yescomplemented
36#19099270C2214yescomplemented
37#19099270C2212yescomplemented
38#19099265C2218yescomplemented
39#19099265C2214yescomplemented
40#19099263C2214yescomplemented
41#19099260C2214yescomplemented
42#19099260C2218yescomplemented
43#19099260C2214yescomplemented
44#19099258C2218yescomplemented
45#19099256C2218yescomplemented
46#19099255C2214yescomplemented
47#19099253C2214yescomplemented
48#19099244C2218yescomplemented
49#19099244C2218yescomplemented
50#19099244C2214yescomplemented
51#19099241C2214yescomplemented
52#19099239C2218yescomplemented
53#19099236C2218yescomplemented
54#19099233C2212yescomplemented
55#19099221C2214yescomplemented
56#19099220C2214yescomplemented
57#19099218C2214yescomplemented
58#19099217C2214yescomplemented
59#19099213C2218yescomplemented
60#19099213C2218yescomplemented
61#19099213C2214yescomplemented
62#19099213C2214yescomplemented
63#19099211C2218yescomplemented
64#19099211C2218yescomplemented
65#19099210C2218yescomplemented
66#19099207C2214yescomplemented
67#19099207C2218yescomplemented
68#19099207C2214yescomplemented
69#19099202C2218yescomplemented
70#19099202C2218yescomplemented
71#19099201C2214yescomplemented
72#19099200C2218yescomplemented
73#19099200C2218yescomplemented
74#19099200C2218yescomplemented
75#19099200C2218yescomplemented
76#19099198C2214yescomplemented
77#19099198C2211yescharacteristic, complemented
78D4×C22⋊D79C2214yescomplemented
79D4×C22⋊D79C2214yescomplemented
80#19099193C2214yescomplemented
81#19099191C2214yescomplemented
82#19099184C2214yescomplemented
83#19099182C2214yescomplemented
84#19099182C2214yescomplemented
85#19099181C2218yescomplemented
86#19099180C2214yescomplemented
87#19099180C2218yescomplemented
88#19099167C2214yescomplemented
89#19099167C2214yescomplemented
90#19099166C2214yescomplemented
91#19099158C2218yescomplemented
92#19099157C2218yescomplemented
93#19099156C2218yescomplemented
94#19099150C2218yescomplemented
95#19099148C2218yescomplemented
96#19099148C2218yescomplemented
97#19099145C2218yescomplemented
98#19099145C2218yescomplemented
99#19099142C2218yescomplemented
100#19099135C2218yescomplemented
101#19099126C2214yescomplemented
102#19099123C2218yescomplemented
103#19099123C2218yescomplemented
104#19099122C2214yescomplemented
105#19099111C2214yescomplemented
106#19099111C2214yescomplemented
107#19099111C2214yescomplemented
108#19099111C2212yescomplemented
109#19099111C2212yescomplemented
110#19099111C2214yescomplemented
111#19099110C2214yescomplemented
112C2×#14579161C2211yescharacteristic, complemented
113#19099100C2212yescomplemented
114#19099099C2212yescomplemented
115#19099098C2212yescomplemented
116#19099097C2212yescomplemented
117#19099096C2214yescomplemented
118#19099095C2214yescomplemented
119#19099095C2212yescomplemented
120#19099094C2212yescomplemented
121#19099093C2214yescomplemented
122#19099092C2212yescomplemented
123#19099092C2214yescomplemented
124#19099091C2214yescomplemented
125#19099090C2214yescomplemented
126#126×D79C2214yescomplemented
127#125×D79C2212yescomplemented
128C2×#14579148C2212yescomplemented
129#124×D79C2212yescomplemented
130#19099073C2214yescomplemented
131#19099070C2214yescomplemented
132#19099069C2218yescomplemented
133C2×#14579145C2214yescomplemented
134C2×#14579142C2214yescomplemented
135#123×D79C2214yescomplemented
136C22⋊Q8×D79C2212yescomplemented
137C2×#14579132C2214yescomplemented
138C2×#14579132C2214yescomplemented
139#121×D79C2212yes—
140#121×D79C2214yescomplemented
141#19099046C2214yescomplemented
142#19099042C2214yescomplemented
143#19099038C2214yescomplemented
144#19099036C2214yescomplemented
145#19099035C2214yescomplemented
146C4×Q8×D79C2212yescomplemented
147C2×D4×Dic79C2214yescomplemented
148C4×D4×D79C2214yescomplemented
149C4×D4×D79C2212yescomplemented
150#117×D79C2214yescomplemented
151C2×C42×D79C2211yescharacteristic, complemented
152#560×C79C2214yescomplemented
153#559×C79C2211yescharacteristic, complemented
154#550×C79C2212yescomplemented
155#546×C79C2214yescomplemented
156D42×C79C2214yescomplemented
157D42×C79C2211yescharacteristic, complemented
158#540×C79C2214yescomplemented
159#535×C79C2214yescomplemented
160#534×C79C2214yescomplemented
161C2×#127×C79C2211yescharacteristic, complemented
162#529×C79C2212yescomplemented
163#14579206—416no—
164C2×#11929624C2318yes—
165C2×#11929623—48no—
166C2×#11929623C2318yes—
167C2×#11929623C2318yes—
168C2×#11929623C2314yes—
169C2×#11929623C2318yes—
170C2×#11929623C2314yes—
171C2×#11929623C2314yes—
172C22×Dic158C2312yes—
173C2×Q8×D79C2312yes—
174C22×C22⋊D79C2314yes—
175C22×C22⋊D79C2314yes—
176C22×C22⋊D79C2318yes—
177C2×D4×D79C2314yes—
178C2×D4×D79C2318yes—
179C2×D4×D79C2312yes—
180C2×D4×D79C2314yes—
181C23×Dic79C2314yes—
182C22×C4×D79C2311yescharacteristic
183C22×C4×D79C2312yes—
184C22×C4×D79C2314yes—
185#14579161C2314yes—
186#14579161C2314yes—
187#14579161C2312yes—
188#14579161C2312yes—
189#14579160C2318yes—
190#14579160C2314yes—
191#14579160C2318yes—
192#14579157C2314yes—
193#14579156C2314yes—
194#14579156C2318yes—
195#14579156C2314yes—
196#14579156C2314yes—
197#14579155C2314yes—
198#14579154C2318yes—
199#14579154C2318yes—
200#14579154C2314yes—
201#14579154C2314yes—
202#14579154C2318yes—
203#14579154C2318yes—
204#14579154C2318yes—
205#14579154C2314yes—
206#14579153C2312yes—
207#14579153C2314yes—
208#14579152C2318yes—
209#14579152C2314yes—
210#14579152C2312yes—
211#14579152C2312yes—
212#14579151C2318yes—
213#14579151C2314yes—
214#14579151C2314yes—
215#14579150C2312yes—
216#14579149C2312yes—
217#14579148C2314yes—
218#14579148C2318yes—
219#14579148C2314yes—
220#14579148C2318yes—
221#14579148C2314yes—
222#14579148C2312yes—
223#14579148C2314yes—
224#14579148C2314yes—
225#14579147C2318yes—
226#14579147C2318yes—
227#14579147C2314yes—
228#14579147C2318yes—
229#14579147C2318yes—
230#14579147C2314yes—
231#14579146C2314yes—
232#14579146C2314yes—
233#14579145C2318yes—
234#14579145C2318yes—
235#14579145C2318yes—
236#14579145C2318yes—
237#14579145C2314yes—
238#14579144C2318yes—
239#14579144C2314yes—
240#14579143C2318yes—
241#14579143C2318yes—
242#14579143C2318yes—
243#14579143C2318yes—
244#14579143C2318yes—
245#14579143C2314yes—
246#14579143C2314yes—
247#14579142C2318yes—
248#14579142C2318yes—
249#14579142C2318yes—
250#14579142C2318yes—
251#14579142C2318yes—
252#14579142C2318yes—
253#14579142C2314yes—
254#14579142C2314yes—
255#14579142C2318yes—
256#14579142C2314yes—
257#14579141C2318yes—
258#14579141C2312yes—
259#14579140C2318yes—
260#14579140C2318yes—
261#14579140C2314yes—
262#14579140C2312yes—
263#14579139C2314yes—
264#14579139C2318yes—
265#14579139C2318yes—
266#14579138C2318yes—
267#14579138C2318yes—
268#14579138C2318yes—
269#14579138C2318yes—
270#14579138C2318yes—
271#14579138C2318yes—
272#14579138C2318yes—
273#14579138C2314yes—
274#14579137C2314yes—
275#14579137C2312yes—
276#14579136C2312yes—
277#14579135C2314yes—
278#14579135C2312yes—
279#14579134C2314yes—
280#14579134C2318yes—
281#14579134C2318yes—
282#14579133C2318yes—
283#14579133C2318yes—
284#14579133C2318yes—
285#14579133C2318yes—
286#14579133C2318yes—
287#14579133C2318yes—
288#14579133C2318yes—
289#14579133C2318yes—
290#14579133C2314yes—
291#14579132C2318yes—
292#14579132C2318yes—
293#14579132C2318yes—
294#14579132C2318yes—
295#14579132C2314yes—
296#14579132C2314yes—
297#14579132C2314yes—
298#14579132C2314yes—
299#14579132C2314yes—
300#14579132C2318yes—
301#14579132C2318yes—
302#14579132C2312yes—
303#14579132C2314yes—
304#14579132C2314yes—
305#14579130C2318yes—
306#14579130C2318yes—
307#14579129C2314yes—
308#14579129C2318yes—
309#14579129C2318yes—
310#14579129C2318yes—
311#14579129C2318yes—
312#14579129C2314yes—
313Q8×Dic79C2312yes—
314Q8×Dic79C2314yes—
315C4×Dic158C2314yes—
316C4×Dic158C2312yes—
317C4×Dic158C2314yes—
318#14579126C2314yes—
319#14579126C2312yes—
320C4×D316C2314yes—
321C4×D316C2314yes—
322C4×D316C2312yes—
323D4×Dic79C2318yes—
324D4×Dic79C2318yes—
325D4×Dic79C2318yes—
326D4×Dic79C2318yes—
327D4×Dic79C2314yes—
328D4×Dic79C2312yes—
329D4×Dic79C2314yes—
330D4×Dic79C2314yes—
331D4×Dic79C2314yes—
332D4×Dic79C2318yes—
333D4×Dic79C2314yes—
334D4×Dic79C2314yes—
335D4×Dic79C2314yes—
336D4×Dic79C2314yes—
337D4×Dic79C2318yes—
338#14579123C2312yes—
339#14579123C2314yes—
340C4×C22⋊D79C2318yes—
341C4×C22⋊D79C2318yes—
342C4×C22⋊D79C2318yes—
343C4×C22⋊D79C2318yes—
344C4×C22⋊D79C2314yes—
345C4×C22⋊D79C2314yes—
346C4×C22⋊D79C2314yes—
347(C22⋊D79)⋊C4C2314yes—
348(C22⋊D79)⋊C4C2318yes—
349(C22⋊D79)⋊C4C2318yes—
350(C22⋊D79)⋊C4C2318yes—
351(C22⋊D79)⋊C4C2318yes—
352(C22⋊D79)⋊C4C2314yes—
353(C22⋊D79)⋊C4C2314yes—
354#14579120C2314yes—
355#14579120C2318yes—
356#14579120C2314yes—
357#14579119C2314yes—
358#14579119C2314yes—
359#14579119C2314yes—
360#14579118C2314yes—
361#14579118C2314yes—
362#14579117C2318yes—
363#14579117C2318yes—
364#14579117C2314yes—
365#14579117C2314yes—
366C2×C4⋊Dic79C2318yes—
367C2×C4⋊Dic79C2314yes—
368C2×C4⋊Dic79C2314yes—
369C2×Dic79⋊C4C2318yes—
370C4⋊C4×D79C2314yes—
371C4⋊C4×D79C2314yes—
372C4⋊C4×D79C2314yes—
373C4⋊C4×D79C2314yes—
374C4⋊C4×D79C2312yes—
375C4⋊C4×D79C2314yes—
376C4⋊C4×D79C2312yes—
377C2×C22⋊Dic79C2318yes—
378C2×C22⋊Dic79C2318yes—
379C2×C22⋊Dic79C2318yes—
380C2×C22⋊Dic79C2314yes—
381C2×(C2×D79)⋊C4C2318yes—
382C22⋊C4×D79C2314yes—
383C22⋊C4×D79C2318yes—
384C22⋊C4×D79C2314yes—
385C22⋊C4×D79C2314yes—
386C22⋊C4×D79C2314yes—
387C22⋊C4×D79C2314yes—
388C2×C4×Dic79C2312yes—
389C2×C4×Dic79C2311yescharacteristic
390C42×D79C2312yes—
391C42×D79C2312yes—
392C42×D79C2312yes—
393C42×D79C2312yes—
394C42×D79C2314yes—
395C2×#41×C79C2314yes—
396C22×D4×C79C2314yes—
397C22×D4×C79C2314yes—
398C22×D4×C79C2314yes—
399C22×D4×C79C2312yes—
400#127×C79C2314yes—
401#127×C79C2314yes—
402#127×C79C2311yescharacteristic
403#127×C79C2311yescharacteristic
404#127×C79C2312yes—
405#126×C79C2314yes—
406#125×C79C2312yes—
407#124×C79C2312yes—
408#124×C79C2314yes—
409#123×C79C2318yes—
410#123×C79C2314yes—
411#123×C79C2314yes—
412#123×C79C2314yes—
413C22⋊Q8×C79C2312yes—
414#121×C79C2318yes—
415#121×C79C2318yes—
416#121×C79C2318yes—
417#121×C79C2314yes—
418#121×C79C2314yes—
419#121×C79C2318yes—
420#121×C79C2312yes—
421#120×C79C2314yes—
422#120×C79C2318yes—
423#120×C79C2314yes—
424#120×C79C2318yes—
425C4×Q8×C79C2312yes—
426C4×D4×C79C2314yes—
427C4×D4×C79C2314yes—
428C4×D4×C79C2312yes—
429C4×D4×C79C2314yes—
430#117×C79C2314yes—
431C2×C22⋊C4×C79C2314yes—
432C2×C42×C79C2311yescharacteristic
433C23×D79C2414yes—
434C23×D79C2414yes—
435C23×D79C2411yescharacteristic
436#11929624—416no—
437#11929623—48no—
438#11929623—416no—
439#11929623—48no—
440#11929623—416no—
441#11929623—416no—
442#11929623—48no—
443C2×Dic158—44no—
444C2×Dic158C2412yes—
445C2×Dic158C2414yes—
446C2×Dic158C2414yes—
447C2×Dic158C2414yes—
448C2×Dic158C2418yes—
449Q8×D79—44no—
450C2×D316C2414yes—
451C2×D316C2412yes—
452C2×C22⋊D79—216no—
453C2×C22⋊D79—416no—
454C2×C22⋊D79—48no—
455C2×C22⋊D79C2418yes—
456C2×C22⋊D79C2418yes—
457C2×C22⋊D79C2414yes—
458C2×C22⋊D79C2414yes—
459C2×C22⋊D79C2418yes—
460C2×C22⋊D79C2418yes—
461C2×C22⋊D79C2418yes—
462C2×C22⋊D79C2414yes—
463C2×C22⋊D79C2418yes—
464D4×D79—216no—
465D4×D79—416no—
466D4×D79—44no—
467D4×D79—48no—
468C22×Dic79—48no—
469C22×Dic79C2414yes—
470C22×Dic79C2411yescharacteristic
471C22×Dic79C2418yes—
472C22×Dic79C2418yes—
473C22×Dic79C2418yes—
474C22×Dic79C2414yes—
475C22×Dic79C2418yes—
476C22×Dic79C2412yes—
477C22×Dic79C2414yes—
478C2×C4×D79—24no—
479C2×C4×D79—44no—
480C2×C4×D79—48no—
481C2×C4×D79C2412yes—
482C2×C4×D79C2412yes—
483C2×C4×D79C2412yes—
484C2×C4×D79C2414yes—
485C2×C4×D79C2414yes—
486C2×C4×D79C2412yes—
487C2×C4×D79C2414yes—
488C2×C4×D79C2418yes—
489C2×C4×D79C2412yes—
490C2×C4×D79C2412yes—
491C2×C4×D79C2414yes—
492C2×C4×D79C2414yes—
493C4⋊Dic79C2414yes—
494C4⋊Dic79C2412yes—
495C4⋊Dic79C2414yes—
496C4⋊Dic79C2414yes—
497C4⋊Dic79C2414yes—
498C4⋊Dic79C2412yes—
499C4⋊Dic79C2414yes—
500C4⋊Dic79C2414yes—
501C4⋊Dic79C2418yes—
502C4⋊Dic79C2418yes—
503C4⋊Dic79C2418yes—
504Dic79⋊C4C2414yes—
505Dic79⋊C4C2414yes—
506Dic79⋊C4C2418yes—
507Dic79⋊C4C2414yes—
508Dic79⋊C4C2414yes—
509Dic79⋊C4C2414yes—
510Dic79⋊C4C2414yes—
511Dic79⋊C4C2414yes—
512Dic79⋊C4C2414yes—
513Dic79⋊C4C2414yes—
514Dic79⋊C4C2414yes—
515Dic79⋊C4C2418yes—
516Dic79⋊C4C2418yes—
517Dic79⋊C4C2418yes—
518C22⋊Dic79C2414yes—
519C22⋊Dic79C2414yes—
520C22⋊Dic79C2414yes—
521C22⋊Dic79C2414yes—
522C22⋊Dic79C2418yes—
523C22⋊Dic79C2414yes—
524C22⋊Dic79C2418yes—
525C22⋊Dic79C2418yes—
526C22⋊Dic79C2414yes—
527C22⋊Dic79C2414yes—
528C22⋊Dic79C2418yes—
529C22⋊Dic79C2418yes—
530C22⋊Dic79C2418yes—
531C22⋊Dic79C2418yes—
532C22⋊Dic79C2418yes—
533(C2×D79)⋊C4C2414yes—
534(C2×D79)⋊C4C2414yes—
535(C2×D79)⋊C4C2414yes—
536(C2×D79)⋊C4C2418yes—
537(C2×D79)⋊C4C2414yes—
538(C2×D79)⋊C4C2414yes—
539(C2×D79)⋊C4C2414yes—
540(C2×D79)⋊C4C2414yes—
541(C2×D79)⋊C4C2414yes—
542(C2×D79)⋊C4C2414yes—
543(C2×D79)⋊C4C2414yes—
544(C2×D79)⋊C4C2418yes—
545C4×Dic79C2411yescharacteristic
546C4×Dic79C2412yes—
547C4×Dic79C2412yes—
548C4×Dic79C2412yes—
549C4×Dic79C2412yes—
550C4×Dic79C2412yes—
551C4×Dic79C2411yescharacteristic
552C4×Dic79C2414yes—
553C4×Dic79C2414yes—
554C4×Dic79C2414yes—
555C4×Dic79C2418yes—
556C4×Dic79C2418yes—
557C24×C79C2414yes—
558C24×C79C2414yes—
559#41×C79—48no—
560C2×Q8×C79C2412yes—
561C2×D4×C79—48no—
562C2×D4×C79—48no—
563C2×D4×C79—44no—
564C2×D4×C79—48no—
565C2×D4×C79C2414yes—
566C2×D4×C79C2414yes—
567C2×D4×C79C2412yes—
568C2×D4×C79C2414yes—
569C2×D4×C79C2412yes—
570C2×D4×C79C2414yes—
571C2×D4×C79C2412yes—
572C2×D4×C79C2418yes—
573C2×D4×C79C2418yes—
574C2×D4×C79C2418yes—
575C2×D4×C79C2418yes—
576C22×C4×C79C2411yescharacteristic
577C22×C4×C79C2412yes—
578C22×C4×C79C2414yes—
579C22×C4×C79C2414yes—
580C22×C4×C79C2418yes—
581C4⋊C4×C79C2414yes—
582C4⋊C4×C79C2414yes—
583C4⋊C4×C79C2412yes—
584C4⋊C4×C79C2412yes—
585C4⋊C4×C79C2414yes—
586C4⋊C4×C79C2414yes—
587C22⋊C4×C79C2414yes—
588C22⋊C4×C79C2414yes—
589C22⋊C4×C79C2414yes—
590C22⋊C4×C79C2414yes—
591C22⋊C4×C79C2414yes—
592C22⋊C4×C79C2414yes—
593C22⋊C4×C79C2414yes—
594C22⋊C4×C79C2418yes—
595C22⋊C4×C79C2418yes—
596C42×C79C2412yes—
597C42×C79C2411yescharacteristic
598C42×C79C2411yescharacteristic
599C42×C79C2414yes—
600C23×C79—28no—
601C23×C79—48no—
602C23×C79—44no—
603C23×C79—48no—
604C23×C79C2514yes—
605C23×C79C2514yes—
606C23×C79C2514yes—
607C23×C79C2511yescharacteristic
608C22×D79—28no—
609C22×D79—42no—
610C22×D79—44no—
611C22×D79—44no—
612C22×D79—44no—
613C22×D79—48no—
614C22×D79H(5,𝔽2)14yes—
615C22×D79C2514yes—
616C22×D79C2512yes—
617Q8×C79—24no—
618D4×C79—28no—
619D4×C79—24no—
620D4×C79—28no—
621D4×C79—28no—
622D4×C79—48no—
623D4×C79—42no—
624D4×C79—44no—
625D4×C79—42no—
626D4×C79—48no—
627D4×C79—48no—
628D4×C79—48no—
629C2×C4×C79—22no—
630C2×C4×C79—24no—
631C2×C4×C79—28no—
632C2×C4×C79—44no—
633C2×C4×C79—48no—
634C2×C4×C79C2514yes—
635C2×C4×C79C2512yes—
636C2×C4×C79C2514yes—
637C2×C4×C79C2511yescharacteristic
638C2×C4×C79C2511yescharacteristic
639C2×C4×C79C2514yes—
640C2×C4×C79C2512yes—
641C22⋊D79—28no—
642C22⋊D79—28no—
643C22⋊D79—216no—
644C22⋊D79—216no—
645C22⋊D79—48no—
646C22⋊D79—44no—
647C22⋊D79—48no—
648C22⋊D79—48no—
649C22⋊D79—48no—
650C2×Dic79—22no—
651C2×Dic79—28no—
652C2×Dic79—42no—
653C2×Dic79—44no—
654C2×Dic79—48no—
655C2×Dic79—48no—
656C2×Dic79—44no—
657C2×Dic79—48no—
658C2×Dic79—48no—
659C2×Dic79C2512yes—
660C2×Dic79C2512yes—
661C2×Dic79C2514yes—
662C2×Dic79C2512yes—
663C2×Dic79C2514yes—
664C2×Dic79C2518yes—
665C2×Dic79C2514yes—
666D316—28no—
667D316—24no—
668C4×D79—24no—
669C4×D79—24no—
670C4×D79—28no—
671C4×D79—24no—
672C4×D79—24no—
673C4×D79—28no—
674C4×D79—42no—
675C4×D79—44no—
676C4×D79—44no—
677C4×D79—42no—
678C4×D79—48no—
679C4×D79—44no—
680Dic158—24no—
681Dic158—44no—
682Dic158—44no—
683Dic158—44no—
684Dic158—48no—
685C22×C79—22no—
686C22×C79—24no—
687C22×C79—24no—
688C22×C79—24no—
689C22×C79—28no—
690C22×C79—24no—
691C22×C79—28no—
692C22×C79—24no—
693C22×C79—88no—
694C22×C79—164no—
695C22×C79C2×H(5,𝔽2)12yes—
696C22×C79C2611yescharacteristic
697C2×D79—22no—
698C2×D79—22no—
699C2×D79—24no—
700C2×D79—24no—
701C2×D79—24no—
702C2×D79—44no—
703C2×D79—88no—
704C2×D79—164no—
705C2×D79C2×H(5,𝔽2)14yes—
706C4×C79—21no—
707C4×C79—21no—
708C4×C79—24no—
709C4×C79—24no—
710C4×C79—22no—
711C4×C79—24no—
712C4×C79#58514yes—
713Dic79—24no—
714Dic79—28no—
715Dic79—22no—
716Dic79—24no—
717Dic79—22no—
718Dic79—24no—
719Dic79—22no—
720#62822—791nomaximal, Sylow
721C2×C79—22no—
722C2×C79—44no—
723C2×C79—44no—
724C2×C79—44no—
725C2×C79C22×H(5,𝔽2)11yescharacteristic
726C2×C79C2×#58512yes—
727D79—24no—
728D79—44no—
729#3560—798no—
730#3559—794no—
731#3558—794no—
732#3545—794no—
733#3544—792no—
734#3543—791no—
735#3543D7911yescharacteristic, complemented
736#3522—792no—
737#3522—792no—
738#3519—792no—
739#3519—792no—
740#3513—794no—
741#3513—794no—
742#3505—794no—
743#3496—794no—
744#3494—794no—
745#3494—794no—
746#3485—794no—
747C2×#532—791no—
748C2×#529—792no—
749C79#6282211yescharacteristic, complemented, Sylow
750C2×H(5,𝔽2)—794no—
751C22×#41—792no—
752#563—798no—
753#563—794no—
754#562—798no—
755H(3,𝔽4)—794no—
756#560—794no—
757#560C2×D7914yescomplemented
758#559—794no—
759#559—791no—
760#559—794no—
761#559C2×D7911yescharacteristic, complemented
762Q82—792no—
763#555—798no—
764#555—792no—
765#554—792no—
766#554—794no—
767#554—792no—
768#554—794no—
769#553—798no—
770#553—798no—
771#553—798no—
772#553—794no—
773#553—794no—
774#553—798no—
775#553—794no—
776#553—794no—
777#552—794no—
778#552—794no—
779#551—798no—
780#551—794no—
781#551—794no—
782#551—798no—
783#551—798no—
784#551—798no—
785#550—792no—
786#550C2×D7912yescomplemented
787#548—794no—
788#548—794no—
789#547—798no—
790#547—798no—
791#547—798no—
792#547—798no—
793#547—794no—
794#547—794no—
795#547—794no—
796#547—794no—
797#546—794no—
798#546—798no—
799#546—794no—
800#546—794no—
801#546—798no—
802#546—798no—
803#546—798no—
804#546—798no—
805#546—798no—
806#546—798no—
807#546—798no—
808#546C2×D7914yescomplemented
809D42—794no—
810D42—794no—
811D42—794no—
812D42—791no—
813D42C2×D7914yescomplemented
814D42C2×D7911yescharacteristic, complemented
815#544—794no—
816#544—794no—
817#542—794no—
818#542—794no—
819#542—798no—
820#542—794no—
821#542—798no—
822#542—794no—
823#540—794no—
824#540—794no—
825#540—794no—
826#540C2×D7914yescomplemented
827#539—798no—
828#539—798no—
829#539—798no—
830#538—798no—
831#538—798no—
832#538—798no—
833#538—798no—
834#538—798no—
835#537—798no—
836#536—798no—
837#535—794no—
838#535C2×D7914yescomplemented
839#534—794no—
840#534—798no—
841#534—798no—
842#534C2×D7914yescomplemented
843#532—794no—
844#532—792no—
845#532—792no—
846#532—794no—
847#532—794no—
848#532—794no—
849#532—794no—
850C2×C4⋊Q8—791no—
851C2×#127C2×D7911yescharacteristic, complemented
852#529—794no—
853#529—792no—
854#529—792no—
855#529—794no—
856#529—794no—
857#529—792no—
858#529—792no—
859#529—792no—
860#529—794no—
861#529—792no—
862#529—794no—
863#529—794no—
864#529—792no—
865#529C2×D7912yescomplemented
866C2×#126—794no—
867C2×#125—792no—
868C2×#124—792no—
869C2×#124—792no—
870#525—794no—
871#525—794no—
872#525—798no—
873C2×#123—794no—
874C2×#123—794no—
875C2×#123—794no—
876C2×C22⋊Q8—792no—
877C2×#121—794no—
878C2×#121—794no—
879C2×#121—792no—
880C2×#121—794no—
881#520—794no—
882#520—794no—
883#518—794no—
884#518—794no—
885#518—794no—
886C2×C4×Q8—792no—
887C2×C4×D4—794no—
888C2×C4×D4—794no—
889C2×C4×D4—792no—
890C2×#117—794no—
891C22×C42—791no—
892H(5,𝔽2)—31616no—
893C2×#41—3168no—
894C2×#41—794no—
895C2×#41—798no—
896C2×#41—794no—
897C2×#41—798no—
898C2×#41—794no—
899C2×#41—798no—
900C2×#41—798no—
901C2×#41C22×D7914yes—
902C22×Q8—792no—
903C22×Q8—792no—
904C22×D4—798no—
905C22×D4—794no—
906C22×D4—792no—
907C22×D4—794no—
908C22×D4—798no—
909C22×D4—794no—
910C22×D4—794no—
911C22×D4C22×D7914yes—
912C22×D4C22×D7914yes—
913C22×D4C22×D7914yes—
914C22×D4C22×D7912yes—
915C23×C4—794no—
916C23×C4—794no—
917C23×C4—792no—
918C23×C4—791no—
919C4⋊Q8—794no—
920C4⋊Q8—798no—
921C4⋊Q8—798no—
922C4⋊Q8—794no—
923C4⋊Q8—792no—
924C4⋊Q8—792no—
925C4⋊Q8—794no—
926#127—794no—
927#127C22×D7914yes—
928#127C22×D7911yescharacteristic
929#127C22×D7911yescharacteristic
930#127C22×D7912yes—
931#127C22×D7914yes—
932#126—794no—
933#126—794no—
934#126—794no—
935#126—798no—
936#126—794no—
937#126—794no—
938#126—794no—
939#126—798no—
940#126—798no—
941#126—798no—
942#126—798no—
943#126—798no—
944#126—794no—
945#126C22×D7914yes—
946#125—794no—
947#125—792no—
948#125—792no—
949#125—794no—
950#125—794no—
951#125—798no—
952#125—798no—
953#125—792no—
954#125—794no—
955#125C22×D7912yes—
956#124—792no—
957#124—792no—
958#124—794no—
959#124—794no—
960#124—794no—
961#124—794no—
962#124—794no—
963#124—798no—
964#124—798no—
965#124—794no—
966#124—794no—
967#124—798no—
968#124—798no—
969#124—798no—
970#124—798no—
971#124—792no—
972#124C22×D7912yes—
973#124C22×D7914yes—
974#123—794no—
975#123—798no—
976#123—798no—
977#123—798no—
978#123—798no—
979#123—798no—
980#123—794no—
981#123—794no—
982#123—798no—
983#123—798no—
984#123—794no—
985#123—798no—
986#123—794no—
987#123—794no—
988#123—794no—
989#123—794no—
990#123—794no—
991#123—798no—
992#123—798no—
993#123—798no—
994#123—798no—
995#123—798no—
996#123—798no—
997#123—798no—
998#123—798no—
999#123—798no—
1000#123C22×D7914yes—
1001#123C22×D7914yes—
1002#123C22×D7914yes—
1003#123C22×D7918yes—
1004C22⋊Q8—792no—
1005C22⋊Q8—794no—
1006C22⋊Q8—792no—
1007C22⋊Q8—794no—
1008C22⋊Q8—798no—
1009C22⋊Q8—798no—
1010C22⋊Q8—792no—
1011C22⋊Q8—794no—
1012C22⋊Q8—798no—
1013C22⋊Q8—798no—
1014C22⋊Q8—798no—
1015C22⋊Q8—794no—
1016C22⋊Q8—798no—
1017C22⋊Q8—798no—
1018C22⋊Q8—798no—
1019C22⋊Q8—798no—
1020C22⋊Q8—798no—
1021C22⋊Q8—798no—
1022C22⋊Q8—798no—
1023C22⋊Q8C22×D7912yes—
1024#121—792no—
1025#121—794no—
1026#121—794no—
1027#121—794no—
1028#121—798no—
1029#121—794no—
1030#121—794no—
1031#121—798no—
1032#121—798no—
1033#121—798no—
1034#121—798no—
1035#121—794no—
1036#121—794no—
1037#121—798no—
1038#121—798no—
1039#121—794no—
1040#121—798no—
1041#121—798no—
1042#121—798no—
1043#121—798no—
1044#121—798no—
1045#121—798no—
1046#121—798no—
1047#121—792no—
1048#121—794no—
1049#121—792no—
1050#121—794no—
1051#121—798no—
1052#121—798no—
1053#121C22×D7912yes—
1054#121C22×D7914yes—
1055#121C22×D7914yes—
1056#121C22×D7918yes—
1057#121C22×D7918yes—
1058#121C22×D7918yes—
1059#121C22×D7918yes—
1060#120—798no—
1061#120—798no—
1062#120—798no—
1063#120—798no—
1064#120—794no—
1065#120—798no—
1066#120—794no—
1067#120—798no—
1068#120C22×D7918yes—
1069#120C22×D7918yes—
1070#120C22×D7914yes—
1071#120C22×D7914yes—
1072C4×Q8—792no—
1073C4×Q8—794no—
1074C4×Q8—792no—
1075C4×Q8—794no—
1076C4×Q8—792no—
1077C4×Q8—794no—
1078C4×Q8—794no—
1079C4×Q8C22×D7912yes—
1080C4×D4—792no—
1081C4×D4—794no—
1082C4×D4—794no—
1083C4×D4—794no—
1084C4×D4—798no—
1085C4×D4—794no—
1086C4×D4—794no—
1087C4×D4—798no—
1088C4×D4—798no—
1089C4×D4—798no—
1090C4×D4—794no—
1091C4×D4—794no—
1092C4×D4—798no—
1093C4×D4—794no—
1094C4×D4—798no—
1095C4×D4—794no—
1096C4×D4—794no—
1097C4×D4—794no—
1098C4×D4—798no—
1099C4×D4—798no—
1100C4×D4—798no—
1101C4×D4—798no—
1102C4×D4—792no—
1103C4×D4—794no—
1104C4×D4—794no—
1105C4×D4—794no—
1106C4×D4—794no—
1107C4×D4—798no—
1108C4×D4—798no—
1109C4×D4—798no—
1110C4×D4—798no—
1111C4×D4—794no—
1112C4×D4—792no—
1113C4×D4—794no—
1114C4×D4C22×D7914yes—
1115C4×D4C22×D7912yes—
1116C4×D4C22×D7914yes—
1117C4×D4C22×D7914yes—
1118#117—794no—
1119#117—794no—
1120#117—798no—
1121#117—794no—
1122#117—794no—
1123#117—794no—
1124#117—794no—
1125#117—794no—
1126#117—798no—
1127#117—798no—
1128#117—794no—
1129#117—794no—
1130#117C22×D7914yes—
1131C2×C4⋊C4—794no—
1132C2×C4⋊C4—794no—
1133C2×C4⋊C4—798no—
1134C2×C4⋊C4—798no—
1135C2×C4⋊C4—794no—
1136C2×C4⋊C4—794no—
1137C2×C4⋊C4—792no—
1138C2×C4⋊C4—794no—
1139C2×C4⋊C4—792no—
1140C2×C4⋊C4—794no—
1141C2×C4⋊C4—794no—
1142C2×C22⋊C4—798no—
1143C2×C22⋊C4—798no—
1144C2×C22⋊C4—794no—
1145C2×C22⋊C4—798no—
1146C2×C22⋊C4—798no—
1147C2×C22⋊C4—794no—
1148C2×C22⋊C4—794no—
1149C2×C22⋊C4—794no—
1150C2×C22⋊C4—794no—
1151C2×C22⋊C4—794no—
1152C2×C22⋊C4—798no—
1153C2×C22⋊C4C22×D7914yes—
1154C2×C42—792no—
1155C2×C42—791no—
1156C2×C42—792no—
1157C2×C42—794no—
1158C2×C42—792no—
1159C2×C42—792no—
1160C2×C42—792no—
1161C2×C42C22×D7911yescharacteristic
1162C24—794no—
1163C24—791no—
1164C24—794no—
1165C24C23×D7914yes—
1166C24C23×D7914yes—
1167#41—48no—
1168#41—31616no—
1169#41—3168no—
1170#41—31616no—
1171#41—3168no—
1172#41—31616no—
1173#41—3168no—
1174#41—31616no—
1175C2×Q8—3164no—
1176C2×Q8—3164no—
1177C2×Q8—794no—
1178C2×Q8—798no—
1179C2×Q8—794no—
1180C2×Q8—794no—
1181C2×Q8—792no—
1182C2×Q8C23×D7912yes—
1183C2×D4—48no—
1184C2×D4—48no—
1185C2×D4—44no—
1186C2×D4—48no—
1187C2×D4—31616no—
1188C2×D4—3168no—
1189C2×D4—31616no—
1190C2×D4—3164no—
1191C2×D4—3168no—
1192C2×D4—798no—
1193C2×D4—794no—
1194C2×D4—798no—
1195C2×D4—798no—
1196C2×D4—798no—
1197C2×D4—794no—
1198C2×D4—798no—
1199C2×D4—798no—
1200C2×D4—794no—
1201C2×D4—792no—
1202C2×D4—794no—
1203C2×D4—15816no—
1204C2×D4—15816no—
1205C2×D4C23×D7912yes—
1206C2×D4C23×D7914yes—
1207C2×D4C23×D7914yes—
1208C2×D4C23×D7914yes—
1209C2×D4C23×D7918yes—
1210C2×D4C23×D7918yes—
1211C2×D4C23×D7918yes—
1212C2×D4C23×D7912yes—
1213C2×D4C23×D7914yes—
1214C2×D4C23×D7912yes—
1215C2×D4C23×D7918yes—
1216C22×C4—3164no—
1217C22×C4—3168no—
1218C22×C4—3168no—
1219C22×C4—792no—
1220C22×C4—798no—
1221C22×C4—794no—
1222C22×C4—798no—
1223C22×C4—798no—
1224C22×C4—798no—
1225C22×C4—794no—
1226C22×C4—792no—
1227C22×C4—792no—
1228C22×C4—794no—
1229C22×C4—794no—
1230C22×C4—794no—
1231C22×C4—798no—
1232C22×C4—791no—
1233C22×C4—794no—
1234C22×C4—792no—
1235C22×C4—792no—
1236C22×C4—792no—
1237C22×C4—792no—
1238C22×C4—794no—
1239C22×C4—794no—
1240C22×C4—1584no—
1241C22×C4C23×D7912yes—
1242C22×C4C23×D7911yescharacteristic
1243C22×C4C23×D7914yes—
1244C22×C4C23×D7918yes—
1245C22×C4C23×D7914yes—
1246C4⋊C4—794no—
1247C4⋊C4—794no—
1248C4⋊C4—798no—
1249C4⋊C4—794no—
1250C4⋊C4—794no—
1251C4⋊C4—794no—
1252C4⋊C4—794no—
1253C4⋊C4—794no—
1254C4⋊C4—794no—
1255C4⋊C4—798no—
1256C4⋊C4—794no—
1257C4⋊C4—794no—
1258C4⋊C4—798no—
1259C4⋊C4—798no—
1260C4⋊C4—794no—
1261C4⋊C4—792no—
1262C4⋊C4—794no—
1263C4⋊C4—794no—
1264C4⋊C4—794no—
1265C4⋊C4—798no—
1266C4⋊C4—794no—
1267C4⋊C4—792no—
1268C4⋊C4—794no—
1269C4⋊C4—798no—
1270C4⋊C4—798no—
1271C4⋊C4C23×D7912yes—
1272C4⋊C4C23×D7912yes—
1273C4⋊C4C23×D7914yes—
1274C4⋊C4C23×D7914yes—
1275C4⋊C4C23×D7914yes—
1276C4⋊C4C23×D7914yes—
1277C22⋊C4—794no—
1278C22⋊C4—794no—
1279C22⋊C4—794no—
1280C22⋊C4—794no—
1281C22⋊C4—798no—
1282C22⋊C4—798no—
1283C22⋊C4—798no—
1284C22⋊C4—798no—
1285C22⋊C4—794no—
1286C22⋊C4—798no—
1287C22⋊C4—798no—
1288C22⋊C4—798no—
1289C22⋊C4—794no—
1290C22⋊C4—794no—
1291C22⋊C4—798no—
1292C22⋊C4—794no—
1293C22⋊C4—794no—
1294C22⋊C4—794no—
1295C22⋊C4—798no—
1296C22⋊C4—794no—
1297C22⋊C4—794no—
1298C22⋊C4—794no—
1299C22⋊C4—794no—
1300C22⋊C4—794no—
1301C22⋊C4—794no—
1302C22⋊C4—798no—
1303C22⋊C4—794no—
1304C22⋊C4C23×D7914yes—
1305C22⋊C4C23×D7914yes—
1306C22⋊C4C23×D7914yes—
1307C22⋊C4C23×D7914yes—
1308C22⋊C4C23×D7914yes—
1309C22⋊C4C23×D7918yes—
1310C22⋊C4C23×D7914yes—
1311C22⋊C4C23×D7914yes—
1312C22⋊C4C23×D7918yes—
1313C42—791no—
1314C42—792no—
1315C42—792no—
1316C42—792no—
1317C42—792no—
1318C42—792no—
1319C42—791no—
1320C42—794no—
1321C42—794no—
1322C42—794no—
1323C42—798no—
1324C42—798no—
1325C42C23×D7912yes—
1326C42C23×D7911yescharacteristic
1327C42C23×D7911yescharacteristic
1328C42C23×D7914yes—
1329C23—28no—
1330C23—48no—
1331C23—44no—
1332C23—48no—
1333C23—3162no—
1334C23—3164no—
1335C23—3164no—
1336C23—3164no—
1337C23—3168no—
1338C23—794no—
1339C23—792no—
1340C23—794no—
1341C23—1588no—
1342C23C24×D7914yes—
1343C23C24×D7914yes—
1344C23C24×D7914yes—
1345C23C24×D7911yescharacteristic
1346Q8—24no—
1347Q8—3164no—
1348Q8—3164no—
1349Q8—3164no—
1350Q8—3168no—
1351Q8—1584no—
1352D4—28no—
1353D4—24no—
1354D4—28no—
1355D4—28no—
1356D4—48no—
1357D4—48no—
1358D4—48no—
1359D4—42no—
1360D4—44no—
1361D4—42no—
1362D4—48no—
1363D4—3168no—
1364D4—3168no—
1365D4—3168no—
1366D4—3164no—
1367D4—3168no—
1368D4—1588no—
1369D4—1588no—
1370D4—15816no—
1371D4—15816no—
1372D4—1588no—
1373D4—1584no—
1374C2×C4—22no—
1375C2×C4—24no—
1376C2×C4—28no—
1377C2×C4—44no—
1378C2×C4—48no—
1379C2×C4—3164no—
1380C2×C4—3164no—
1381C2×C4—3162no—
1382C2×C4—3162no—
1383C2×C4—3168no—
1384C2×C4—3164no—
1385C2×C4—3168no—
1386C2×C4—3168no—
1387C2×C4—3164no—
1388C2×C4—3162no—
1389C2×C4—3164no—
1390C2×C4—3168no—
1391C2×C4—3168no—
1392C2×C4—792no—
1393C2×C4—794no—
1394C2×C4—792no—
1395C2×C4—792no—
1396C2×C4—794no—
1397C2×C4—798no—
1398C2×C4—794no—
1399C2×C4—1584no—
1400C2×C4—1584no—
1401C2×C4—1588no—
1402C2×C4—1582no—
1403C2×C4—1588no—
1404C2×C4—1584no—
1405C2×C4—1584no—
1406C2×C4—1588no—
1407C2×C4C24×D7914yes—
1408C2×C4C24×D7912yes—
1409C2×C4C24×D7911yescharacteristic
1410C2×C4C24×D7911yescharacteristic
1411C2×C4C24×D7914yes—
1412C2×C4C24×D7914yes—
1413C2×C4C24×D7912yes—
1414C22—22no—
1415C22—24no—
1416C22—24no—
1417C22—24no—
1418C22—24no—
1419C22—28no—
1420C22—28no—
1421C22—24no—
1422C22—88no—
1423C22—164no—
1424C22—3164no—
1425C22—794no—
1426C22—6328no—
1427C22—1584no—
1428C22—1584no—
1429C22—1584no—
1430C22—1582no—
1431C22—1582no—
1432C22—12644no—
1433C22H(5,𝔽2)×D7912yes—
1434C22C25×D7911yescharacteristic
1435C4—21no—
1436C4—21no—
1437C4—24no—
1438C4—24no—
1439C4—22no—
1440C4—24no—
1441C4—1582no—
1442C4—1584no—
1443C4—1588no—
1444C4—1582no—
1445C4—1584no—
1446C4—1584no—
1447C4—1582no—
1448C4#1909939814yes—
1449C2—22no—
1450C2—44no—
1451C2—44no—
1452C2—44no—
1453C2—3164no—
1454C2—1584no—
1455C2C2×H(5,𝔽2)×D7911yescharacteristic
1456C2C2×#1909939812yes—
subgroupG/H
center, FrattiniC22C25×D79
commutator, socle, cosocleC22×C79C26
FittingC79×#3543C2
hypercenter#3543D79
hypocenterC79#62822
LCSG ▷ C22×C79 ▷ C79
UCSC1 ◁ C22 ◁ #3543

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #23777950C2semidirect
2. #23777930C2semidirect
3. #23777918C2semidirect
4. #23777749C2semidirect
5. #23777740C2semidirect
6. #23777733C2semidirect
7. #23777482C2semidirect
8. #23777480C2semidirect
9. #23777431C2semidirect
10. #23777423C2semidirect
11. #23777341C2semidirect
12. #23777325C2semidirect
13. #23777227C2semidirect
14. #23777156C2semidirect
15. #23777132C2semidirect
16. #23777127C2semidirect
17. #23777041C2semidirect
18. C2×#19099111C2semidirect
19. #529×D79C2semidirect
20. C79×#3543C2semidirect
21. C2×#14579206C22semidirect
22. C22×#11929623C22semidirect
23. #19099316C22semidirect
24. #19099315C22semidirect
25. #19099308C22semidirect
26. #19099306C22semidirect
27. #19099300C22semidirect
28. #19099299C22semidirect
29. #19099299C22semidirect
30. #19099295C22semidirect
31. Q8×Dic158C22semidirect
32. #19099278C22semidirect
33. #19099277C22semidirect
34. #19099273C22semidirect
35. #19099272C22semidirect
36. #19099270C22semidirect
37. #19099270C22semidirect
38. #19099265C22semidirect
39. #19099265C22semidirect
40. #19099263C22semidirect
41. #19099260C22semidirect
42. #19099260C22semidirect
43. #19099260C22semidirect
44. #19099258C22semidirect
45. #19099256C22semidirect
46. #19099255C22semidirect
47. #19099253C22semidirect
48. #19099244C22semidirect
49. #19099244C22semidirect
50. #19099244C22semidirect
51. #19099241C22semidirect
52. #19099239C22semidirect
53. #19099236C22semidirect
54. #19099233C22semidirect
55. #19099221C22semidirect
56. #19099220C22semidirect
57. #19099218C22semidirect
58. #19099217C22semidirect
59. #19099213C22semidirect
60. #19099213C22semidirect
61. #19099213C22semidirect
62. #19099213C22semidirect
63. #19099211C22semidirect
64. #19099211C22semidirect
65. #19099210C22semidirect
66. #19099207C22semidirect
67. #19099207C22semidirect
68. #19099207C22semidirect
69. #19099202C22semidirect
70. #19099202C22semidirect
71. #19099201C22semidirect
72. #19099200C22semidirect
73. #19099200C22semidirect
74. #19099200C22semidirect
75. #19099200C22semidirect
76. #19099198C22semidirect
77. #19099198C22semidirect
78. D4×C22⋊D79C22semidirect
79. D4×C22⋊D79C22semidirect
80. #19099193C22semidirect
81. #19099191C22semidirect
82. #19099184C22semidirect
83. #19099182C22semidirect
84. #19099182C22semidirect
85. #19099181C22semidirect
86. #19099180C22semidirect
87. #19099180C22semidirect
88. #19099167C22semidirect
89. #19099167C22semidirect
90. #19099166C22semidirect
91. #19099158C22semidirect
92. #19099157C22semidirect
93. #19099156C22semidirect
94. #19099150C22semidirect
95. #19099148C22semidirect
96. #19099148C22semidirect
97. #19099145C22semidirect
98. #19099145C22semidirect
99. #19099142C22semidirect
100. #19099135C22semidirect
101. #19099126C22semidirect
102. #19099123C22semidirect
103. #19099123C22semidirect
104. #19099122C22semidirect
105. #19099111C22semidirect
106. #19099111C22semidirect
107. #19099111C22semidirect
108. #19099111C22semidirect
109. #19099111C22semidirect
110. #19099111C22semidirect
111. #19099110C22semidirect
112. C2×#14579161C22semidirect
113. #19099100C22semidirect
114. #19099099C22semidirect
115. #19099098C22semidirect
116. #19099097C22semidirect
117. #19099096C22semidirect
118. #19099095C22semidirect
119. #19099095C22semidirect
120. #19099094C22semidirect
121. #19099093C22semidirect
122. #19099092C22semidirect
123. #19099092C22semidirect
124. #19099091C22semidirect
125. #19099090C22semidirect
126. #126×D79C22semidirect
127. #125×D79C22semidirect
128. C2×#14579148C22semidirect
129. #124×D79C22semidirect
130. #19099073C22semidirect
131. #19099070C22semidirect
132. #19099069C22semidirect
133. C2×#14579145C22semidirect
134. C2×#14579142C22semidirect
135. #123×D79C22semidirect
136. C22⋊Q8×D79C22semidirect
137. C2×#14579132C22semidirect
138. C2×#14579132C22semidirect
140. #121×D79C22semidirect
141. #19099046C22semidirect
142. #19099042C22semidirect
143. #19099038C22semidirect
144. #19099036C22semidirect
145. #19099035C22semidirect
146. C4×Q8×D79C22semidirect
147. C2×D4×Dic79C22semidirect
148. C4×D4×D79C22semidirect
149. C4×D4×D79C22semidirect
150. #117×D79C22semidirect
151. C2×C42×D79C22semidirect
152. #560×C79C22semidirect
153. #559×C79C22semidirect
154. #550×C79C22semidirect
155. #546×C79C22semidirect
156. D42×C79C22semidirect
157. D42×C79C22semidirect
158. #540×C79C22semidirect
159. #535×C79C22semidirect
160. #534×C79C22semidirect
161. C2×#127×C79C22semidirect
162. #529×C79C22semidirect
735. #3543D79semidirect
749. C79#62822semidirect
757. #560C2×D79semidirect
761. #559C2×D79semidirect
786. #550C2×D79semidirect
808. #546C2×D79semidirect
813. D42C2×D79semidirect
814. D42C2×D79semidirect
826. #540C2×D79semidirect
838. #535C2×D79semidirect
842. #534C2×D79semidirect
851. C2×#127C2×D79semidirect
865. #529C2×D79semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#237779502
#237779302
#237779182
#237777492
#237777402
#237777332
#237774822
#237774802
#237774312
#237774232
#237773412
#237773252
#237772272
#237771562
#237771322
#237771272
#237770412
C2×#190991112
#529×D792
C79×#35432
#6282279